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Finding the Fourth Proportional to 16,825.07, 23,218.16 and 9,751.07

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Solution

The fourth proportional to 16,825.07, 23,218.16 and 9,751.07 is: 13,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.07 : 23,218.16 = 9,751.07 : x
  2. Step 2: Convert to fraction form
    16,825.07/23,218.16 = 9,751.07/x
  3. Step 3: Cross multiply
    16,825.07x = 23,218.16 × 9,751.07
  4. Step 4: Simplify right side
    16,825.07x = 226,401,738.59
  5. Step 5: Solve for x
    x = 226,401,738.59/16,825.07
  6. Step 6: Final answer
    x = 13,456.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.